Measuring pipettes including integral or encapsulated filters, as well as methods and apparatuses for forming the same, are provided. A filter material (e.g., a discrete element in solid form) or a filter material precursor (e.g., a foamable thermoplastic composition and a blowing agent) to be introduced into a hollow interior of a softened thermoplastic material present within a mold during pipette fabrication. A pipette includes a filter element comprising foamed polymeric material within a mouthpiece region, wherein an outer portion of the filter element is bound to or encapsulated in an inner wall of the mouthpiece region. A filter material precursor may be supplied coaxially with a tubular flow of thermoplastic material into the mold, may be supplied laterally through a mold wall, or may be injected into a molten thermoplastic pipette forming material upstream of an extruder outlet.